Electrical Engineering - Online Test

Q1. The Blasius equation related to boundary layer theory is a
Answer : Option D
Explaination / Solution:
No Explaination.


Q2. The probability of obtaining at least two “SIX” in throwing a fair dice 4 time is
Answer : Option B
Explaination / Solution:

n = 4; p = 1/6
q = 1 - 1/6 = 5/6


Q3. A triangular facet in a CAD model has vertices: P1(0, 0, 0); P2(1, 1, 0) and P3(1, 1, 1). The area of the facet is
Answer : Option B
Explaination / Solution:
No Explaination.


Q4. Fine the solution of d2y/dx2 which passes through the origin and the point (In 2,3/4),
Answer : Option C
Explaination / Solution:



Q5. Consider the function f(x) = |x| in the interval -1 ≤ x ≤ 1. At the point x = 0,f(x) is
Answer : Option C
Explaination / Solution:

f(x) = |x| –1 ≤ x ≤ 1

at x = 0

∴ It is continuous. 

∴It is not differentiable.

Q6.
Answer : Option B
Explaination / Solution:



Q7. The area enclosed between the straight line y = x and the parabola y = x2 in the x-y plane is
Answer : Option A
Explaination / Solution:



Q8. For the spherical surface x2 + y2 + z2 = 1,  the unit outward normal vector at the point (1/√2, 1/√2, 0)is given by
Answer : Option A
Explaination / Solution:

To find the direction of normal, take the gradient i.e. 
8 unit vector will become
 

Q9. At x = 0, the function f(x) = x3 + 1 has
Answer : Option D
Explaination / Solution:


So, x = 0 is point of inflexion 

Q10. For the matrix   ONE of the normalized Eigen vectors is given as
Answer : Option B
Explaination / Solution:


To find eigenvector, first find Eigen-values by solving equation 

So for λ = 2, the eigenvector 15

Normalized Eigen Vector